{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,1]],"date-time":"2024-06-01T01:10:22Z","timestamp":1717204222040},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2014,8,8]],"date-time":"2014-08-08T00:00:00Z","timestamp":1407456000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2015,2]]},"DOI":"10.1007\/s00034-014-9863-9","type":"journal-article","created":{"date-parts":[[2014,8,7]],"date-time":"2014-08-07T10:09:08Z","timestamp":1407406148000},"page":"483-512","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Networked Adaptive Non-linear Oscillators: A Digital Synthesis and Application"],"prefix":"10.1007","volume":"34","author":[{"given":"Mohammad Ali","family":"Maleki","sequence":"first","affiliation":[]},{"given":"Arash","family":"Ahmadi","sequence":"additional","affiliation":[]},{"given":"Seyed Vahab Al-Din","family":"Makki","sequence":"additional","affiliation":[]},{"given":"Hamid","family":"Soleimani","sequence":"additional","affiliation":[]},{"given":"Mohammad","family":"Bavandpour","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,8,8]]},"reference":[{"issue":"5","key":"9863_CR1","doi-asserted-by":"crossref","first-page":"1076","DOI":"10.1109\/TCSI.2010.2092070","volume":"58","author":"A Ahmadi","year":"2011","unstructured":"A. Ahmadi, E. Mangieri, K. Maharatna, S. Dasmahapatra, M. Zwolinski, On the VLSI implementation of adaptive-frequency hopf oscillator. IEEE Trans. Circuits Syst. I 58(5), 1076\u20131088 (2011)","journal-title":"IEEE Trans. Circuits Syst. I"},{"key":"9863_CR2","doi-asserted-by":"crossref","unstructured":"J. Buchli, F. Iida, A. J. Ijspeert, Finding resonance: adaptive frequency oscillators for dynamic legged locomotion. in 2006 IEEE\/RSJ International Conference on Intelligent Robots and Systems, (2006) pp. 3903\u20133909","DOI":"10.1109\/IROS.2006.281802"},{"key":"9863_CR3","doi-asserted-by":"crossref","unstructured":"J. Buchli, A.J. Ijspeert, A simple, adaptive locomotion toy-system. From animals to animats 8. in Proceedings of the Eighth International Conference on the Simulation of Adaptive Behavior (SAB\u201904), (MIT Press, 2004), p. 153\u2013162","DOI":"10.7551\/mitpress\/3122.003.0021"},{"issue":"13","key":"9863_CR4","doi-asserted-by":"crossref","first-page":"1705","DOI":"10.1016\/j.physd.2008.01.014","volume":"237","author":"J Buchli","year":"2008","unstructured":"J. Buchli, L. Righetti, A.J. Ijspeert, Frequency analysis with coupled nonlinear oscillators. Physica D 237(13), 1705\u20131718 (2008)","journal-title":"Physica D"},{"issue":"3","key":"9863_CR5","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1016\/S0893-6080(02)00028-X","volume":"15","author":"K Chen","year":"2002","unstructured":"K. Chen, D. Wang, A dynamically coupled neural oscillator network for image segmentation. Neural Netw. 15(3), 423\u2013439 (2002)","journal-title":"Neural Netw."},{"issue":"7","key":"9863_CR6","doi-asserted-by":"crossref","first-page":"628","DOI":"10.1109\/12.863031","volume":"49","author":"MD Ercegovac","year":"2000","unstructured":"M.D. Ercegovac, T. Lang, J.-M. Muller, Reciprocation, square root, inverse square root, and some elementary functions using small multipliers. IEEE Trans. Comput. 49(7), 628\u2013637 (2000)","journal-title":"IEEE Trans. Comput."},{"key":"9863_CR7","unstructured":"FPGA and HDL Software Package. (Xilinx Inc., San Jose), http:\/\/www.xilinx.com\/"},{"key":"9863_CR8","doi-asserted-by":"crossref","unstructured":"T.J. Hamilton, C. Jin, J. Tapson, A. van Schaik, A 2-D cochlea with hopf oscillators. in Biomedical Circuits and Systems Conference, (Nov. 2007), pp. 91\u201394","DOI":"10.1109\/BIOCAS.2007.4463316"},{"issue":"2","key":"9863_CR9","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1109\/TC.2008.201","volume":"58","author":"D-G Han","year":"2009","unstructured":"D.-G. Han, D. Choi, H. Kim, Improved computation of square roots in specific finite fields. IEEE Trans. Comput. 58(2), 188\u2013196 (2009)","journal-title":"IEEE Trans. Comput."},{"issue":"3","key":"9863_CR10","doi-asserted-by":"crossref","first-page":"734","DOI":"10.1109\/72.846744","volume":"11","author":"CF Hoppensteadt","year":"2000","unstructured":"C.F. Hoppensteadt, E.M. Izhikevich, Pattern recognition via synchronization in phase-locked loop neural networks. IEEE Trans. Neural Netw. 11(3), 734\u2013738 (2000)","journal-title":"IEEE Trans. Neural Netw."},{"key":"9863_CR11","first-page":"5","volume-title":"Encyclopedia of Mathematical Physics. Ch. Weakly Coupled Oscillators","author":"E Izhikevich","year":"2006","unstructured":"E. Izhikevich, Y. Kuramoto, Encyclopedia of Mathematical Physics. Ch. Weakly Coupled Oscillators (Academic Press, Salt Lake, 2006), pp. 5\u2013448"},{"key":"9863_CR12","volume-title":"Nonlinear Systems","author":"HK Khalil","year":"1996","unstructured":"H.K. Khalil, Nonlinear Systems (Prentice-Hall, Upper Saddle River, 1996)"},{"key":"9863_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/1-4020-3690-6","volume-title":"Modeling Chemical Systems using Cellular Automata","author":"LB Kier","year":"2005","unstructured":"L.B. Kier, P.G. Seybold, C.-K. Cheng, Modeling Chemical Systems using Cellular Automata (Springer, Dordrecht, 2005)"},{"key":"9863_CR14","first-page":"201","volume":"7","author":"N Kopell","year":"1974","unstructured":"N. Kopell, L.N. Howard, Pattern formation in the Belousov reaction. Lectures on Mathematics in the life Series. Am. Math. Soc. 7, 201\u2013216 (1974)","journal-title":"Am. Math. Soc."},{"key":"9863_CR15","doi-asserted-by":"crossref","first-page":"1601","DOI":"10.1016\/j.mejo.2009.03.004","volume":"40","author":"T-J Kwon","year":"2009","unstructured":"T.-J. Kwon, J. Draper, Floating-point division and square root using a Taylor-series expansion algorithm. Microelectron. J. 40, 1601\u20131605 (2009)","journal-title":"Microelectron. J."},{"issue":"4","key":"9863_CR16","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1016\/0022-5193(77)90018-2","volume":"65","author":"N MacDonald","year":"1977","unstructured":"N. MacDonald, Bifurcation theory applied to a simple model of a biochemical oscillator. J. Theoret. Biol. 65(4), 727\u2013734 (1977)","journal-title":"J. Theoret. Biol."},{"key":"9863_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-6374-6","volume-title":"The Hopf Bifurcation and its Applications. Applied Mathematical Sciences","author":"J Marsden","year":"1976","unstructured":"J. Marsden, M. McCracken, The Hopf Bifurcation and its Applications. Applied Mathematical Sciences, vol. 19 (Springer, New York, 1976)"},{"key":"9863_CR18","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/BF00275893","volume":"5","author":"AI Mees","year":"1978","unstructured":"A.I. Mees, P.E. Rapp, Periodic metabolic systems. J. Math. Biol. 5, 99\u2013114 (1978)","journal-title":"J. Math. Biol."},{"key":"9863_CR19","volume-title":"Discrete-Time Signal Processing","author":"AV Oppenheim","year":"1999","unstructured":"A.V. Oppenheim, R.W. Schafer, J.R. Buck, Discrete-Time Signal Processing (Prentice-Hall, Upper Saddle River, 1999)"},{"key":"9863_CR20","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511755743","volume-title":"Synchronization: A Universal Concept in Nonlinear Science","author":"A Pikovsky","year":"2001","unstructured":"A. Pikovsky, M. Rosenblum, J. Kurths, Synchronization: A Universal Concept in Nonlinear Science (Cambridge University Press, Cambridge, 2001)"},{"issue":"12","key":"9863_CR21","doi-asserted-by":"crossref","first-page":"1377","DOI":"10.1109\/TC.2002.1146704","volume":"51","author":"J-A Pineiro","year":"2002","unstructured":"J.-A. Pineiro, J.D. Bruguera, High-speed double-precision computation of reciprocal, division, square root, and inverse square root. IEEE Trans. Comput. 51(12), 1377\u20131388 (2002)","journal-title":"IEEE Trans. Comput."},{"issue":"3","key":"9863_CR22","doi-asserted-by":"crossref","first-page":"474","DOI":"10.1007\/s00285-006-0021-2","volume":"53","author":"CM Pinto","year":"2006","unstructured":"C.M. Pinto, M. Golubitsky, Central pattern generators for bipedal locomotion. J. Math. Biol. 53(3), 474\u2013489 (2006)","journal-title":"J. Math. Biol."},{"issue":"2","key":"9863_CR23","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1016\/j.physd.2006.02.009","volume":"216","author":"L Righetti","year":"2006","unstructured":"L. Righetti, J. Buchli, A.J. Ijspeert, Dynamic Hebbian learning in adaptive frequency oscillators. Physica D 216(2), 269\u2013281 (2006)","journal-title":"Physica D"},{"key":"9863_CR24","doi-asserted-by":"crossref","unstructured":"D. Ruelle, F. Takens, On the nature of turbulence. Commun. Math. Phys. 20, 167\u2013192 (1971)","DOI":"10.1007\/BF01646553"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9863-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-014-9863-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9863-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,1]],"date-time":"2024-06-01T00:54:35Z","timestamp":1717203275000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-014-9863-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,8,8]]},"references-count":24,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,2]]}},"alternative-id":["9863"],"URL":"https:\/\/doi.org\/10.1007\/s00034-014-9863-9","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,8,8]]}}}